Answer:
The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the z-score that has a p-value of
.
Out of 100 people sampled, 42 had kids.
This means that
99% confidence level
So
, z is the value of Z that has a p-value of
, so
.
The lower limit of this interval is:
The upper limit of this interval is:
The 99% confidence interval for the true population proportion of people with kids is (0.293, 0.547).
There are two ways to evaluate the square root of 864: using a calculator, and simplifying the root.
The first method is simplifying the root. While this doesn't give you an exact value, it reduces the number inside the root.
Find the prime factorization of 864:

Take any number that is repeated twice in the square root, and move it outside of the root:





The simplified form of √864 will be 12√6.
The second method is evaluating the root. Using a calculator, we can find the exact value of √864.
Plugged into a calculator and rounded to the nearest hundredths value, √864 is equal to 29.39. Because square roots can be negative or positive when evaluated, this means that √864 is equal to ±29.39.
Answer:
140°
Step-by-step explanation:
The sum of angle of a triangle is equal to 180°.
Two of the angles measured 20°.
We need to find the measure of the third angle of Nora’s triangle. let the third angle is x. So,
20+20+x = 180
40+x = 180
x = 180-40
x = 140°
So, the third angle of the triangle is 140°.
Answer:
42
Step-by-step explanation:
Divide 14/2 *6 to get your ratio.
Hope this helps!
:)
The formula for this is: (sale price) / (1 - percentage)
Percentage have to be in decimal form, so divide percentage by 100 to get the decimal form.
220/(1-.20) = $275
The original price was $275.